Place chicken breasts in a 9x13 inch baking dish. Top each breast with 1 slice of cheese.
Mix together the soup and wine/water and pour mixture over the chicken and cheese. Sprinkle the bread crumbs from the stuffing mix over the soup mixture, then sprinkle the seasoning packet from the stuffing mix over the bread crumbs. Bake uncovered in the preheated oven for 50 to 60 minutes.